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20253640 = 23511191241
BaseRepresentation
bin100110101000…
…0101111001000
31102002222202211
41031100233020
520141104030
62002034504
7334103341
oct115205710
942088684
1020253640
1110483950
126948a34
134271a04
1429930c8
151ba112a
hex1350bc8

20253640 has 64 divisors (see below), whose sum is σ = 50181120. Its totient is φ = 7296000.

The previous prime is 20253589. The next prime is 20253661. The reversal of 20253640 is 4635202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83920 + ... + 84160.

It is an arithmetic number, because the mean of its divisors is an integer number (784080).

Almost surely, 220253640 is an apocalyptic number.

20253640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090560).

20253640 is an abundant number, since it is smaller than the sum of its proper divisors (29927480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20253640 is a wasteful number, since it uses less digits than its factorization.

20253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 20253640 is about 4500.4044262710. The cubic root of 20253640 is about 272.5844195981.

Adding to 20253640 its reverse (4635202), we get a palindrome (24888842).

It can be divided in two parts, 2025 and 3640, that added together give a palindrome (5665).

The spelling of 20253640 in words is "twenty million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 241 382 440 482 764 955 964 1205 1528 1910 1928 2101 2410 2651 3820 4202 4820 5302 7640 8404 9640 10505 10604 13255 16808 21010 21208 26510 42020 46031 53020 84040 92062 106040 184124 230155 368248 460310 506341 920620 1012682 1841240 2025364 2531705 4050728 5063410 10126820 20253640